5. Prove that f has a zero of order m at zo if and only if f(zo), ƒ'(zo),...‚ ƒ(m-¹) (zo) are all equal to zero, but f(m) (zo) ‡0.

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A: Please refer the attached image for complete solution. THANK YOU.

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Q: 9. Show that if the analytic function f(z) has a zero of order N at zo, then f(z) satisfying g'(zo)…

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